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Operation in Hamiltonian mechanics
In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's
Poisson_bracket
French mathematician and physicist (1781–1840)
also presented his identity for Poisson brackets, which can be used to prove Poisson's theorem. The name "Poisson bracket" was likely used for the first
Siméon_Denis_Poisson
Associative algebra together with a Lie bracket that satisfies Leibniz's law
mathematics, a Poisson algebra is an associative algebra together with a Lie bracket that also satisfies Leibniz's law; that is, the bracket is also a derivation
Poisson_algebra
Mathematical structure in differential geometry
generalises the phase space from Hamiltonian mechanics. A Poisson structure (or Poisson bracket) on a smooth manifold M {\displaystyle M} is a function
Poisson_manifold
Suitably normalized antisymmetrization of the phase-space star product
Poisson bracket Lie algebra. Up to formal equivalence, the Moyal Bracket is the unique one-parameter Lie-algebraic deformation of the Poisson bracket
Moyal_bracket
Formulation of classical mechanics using momenta
evaluating a Poisson bracket without resorting to differential equations, see Lie algebra; a Poisson bracket is the name for the Lie bracket in a Poisson algebra
Hamiltonian_mechanics
Vector field defined for any energy function
vector fields can be defined more generally on an arbitrary Poisson manifold. The Lie bracket of two Hamiltonian vector fields corresponding to functions
Hamiltonian_vector_field
Brackets as used in mathematical notation
Nijenhuis–Richardson bracket, also known as algebraic bracket. Pochhammer symbol Poisson bracket Schouten–Nijenhuis bracket System of equations Russell, Deb. "When
Bracket_(mathematics)
Vector used in astronomy
of the LRL vector must be derived directly, e.g., by the method of Poisson brackets, as described below. Conserved quantities of this kind are called "dynamic"
Laplace–Runge–Lenz_vector
Punctuation mark
Poisson bracket between two quantities. In ring theory, braces denote the anticommutator where {a, b} is defined as a b + b a . Look up curly bracket
Bracket
Key result in Hamiltonian mechanics and statistical mechanics
Hamilton's relations). The theorem above is often restated in terms of the Poisson bracket as ∂ ρ ∂ t = { H , ρ } {\displaystyle {\frac {\partial \rho }{\partial
Liouville's theorem (Hamiltonian)
Liouville's_theorem_(Hamiltonian)
is a dynamical quantity in a constrained Hamiltonian system whose Poisson bracket with all the other constraints vanishes on the constraint surface in
First-class_constraint
Formulation of quantum mechanics
the theory of Poisson brackets, so, for them, the differentiation effectively evaluated {X, P} in J,θ coordinates. The Poisson Bracket, unlike the action
Matrix_mechanics
Theory of quantum gravity merging quantum mechanics and general relativity
(really a gauge transformation) can be obtained by calculating the Poisson brackets of the three-metric and its conjugate momentum with a linear combination
Loop_quantum_gravity
Quantization method for constrained Hamiltonian systems with second-class constraints
The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to treat classical systems with second class constraints in Hamiltonian
Dirac_bracket
Process in quantum mechanical theories
mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization
Canonical_quantization
coordinates in which the Poisson bivector is constant (plain flat Poisson brackets). For the general formula on arbitrary Poisson manifolds, cf. the Kontsevich
Deformation_quantization
Property of some binary operations
identity for Poisson brackets in his 1862 paper on differential equations. The cross product a × b {\displaystyle a\times b} and the Lie bracket operation
Jacobi_identity
Theorem of dynamical systems
ingredient is the Poisson bracket of two functions f and g, which produces another function denoted { f , g } {\displaystyle \{f,g\}} . This bracket is antisymmetric
Liouville–Arnold_theorem
Systematic procedure of turning a classical theory into a quantum one
converted into a Poisson algebra by introducing a Poisson bracket derivable from the action, called the Peierls bracket. This Poisson algebra is then ℏ
Quantization_(physics)
Coordinate transformation that preserves the form of Hamilton's equations
)=\lambda [u,v]_{\eta }} Hence, the Poisson bracket scales by the inverse of λ {\textstyle \lambda } whereas the Lagrange bracket scales by a factor of λ {\textstyle
Canonical_transformation
equation Vlasov–Poisson equation Hamiltonian mechanics Poisson bracket Electrostatics Poisson equation Euler–Poisson–Darboux equation Poisson–Boltzmann equation
List of things named after Siméon Denis Poisson
List_of_things_named_after_Siméon_Denis_Poisson
symmetric multivector fields, which is more or less the same as the Poisson bracket on the cotangent bundle. It was invented by Jan Arnoldus Schouten (1940
Schouten–Nijenhuis_bracket
product rule is defined. Such an operation is then known as the Poisson bracket of the Poisson ring. Many important operations and results of symplectic geometry
Poisson_ring
Formulation of general relativity
satisfy canonical Poisson-bracket relations, { q i , p j } = δ i j {\displaystyle \{q_{i},p_{j}\}=\delta _{ij}} where the Poisson bracket is given by { f
Canonical_quantum_gravity
of generalized Poisson brackets defined on differential forms. A Gerstenhaber algebra is a graded-commutative algebra with a Lie bracket of degree −1 satisfying
Gerstenhaber_algebra
Topics referred to by the same term
order of operations Curly-bracket languages, in programming Lie bracket of vector fields, multiple meanings Poisson bracket, an operator used in mathematics
Bracket_(disambiguation)
Type of manifold in differential geometry
\cdot ]} is the Lie bracket. Given any two smooth functions f , g : M → R {\displaystyle f,g:M\to \mathbb {R} } , their Poisson bracket is defined by { f
Symplectic_manifold
Generalization of the BRST formalism
(b)+a\Delta (1)b.} Other names for the Gerstenhaber bracket are Buttin bracket, antibracket, or odd Poisson bracket. The antibracket satisfies | ( a , b ) | =
Batalin–Vilkovisky_formalism
Theoretical physics
theoretical physics, the Peierls bracket is an equivalent description[clarification needed] of the Poisson bracket. It can be defined directly from the
Peierls_bracket
Operation measuring the failure of two entities to commute
a.k.a. commutant Derivation (abstract algebra) Moyal bracket Pincherle derivative Poisson bracket Ternary commutator Three subgroups lemma Herstein (1975
Commutator
Theorem in quantum mechanics
to Liouville's theorem of Hamiltonian mechanics, which involves the Poisson bracket instead of a commutator. Dirac's rule of thumb suggests that statements
Ehrenfest_theorem
Lagrange brackets are certain expressions closely related to Poisson brackets that were introduced by Joseph Louis Lagrange from 1808 to 1810 for the purposes
Lagrange_bracket
Formalism in classical field theory based on Hamiltonian mechanics
boundary of the volume the integrals are taken over, the field theoretic Poisson bracket is defined as (not to be confused with the anticommutator from quantum
Hamiltonian_field_theory
Relation satisfied by conjugate variables in quantum mechanics
between the quantum commutator and a deformation of the Poisson bracket, today called the Moyal bracket, and, in general, quantum operators and classical observables
Canonical commutation relation
Canonical_commutation_relation
Example of a phase-space star product in mathematics
functions on R 2 n {\displaystyle \mathbb {R} ^{2n}} , equipped with its Poisson bracket (with a generalization to symplectic manifolds, described below). It
Moyal_product
Discrete dynamical system on polygons in the projective plane and on their moduli space
with the Poisson–Lie groups, dimer models and other so-called cluster-integrable systems. These methods allow to retrieve the Poisson-bracket and Hamiltonians
Pentagram_map
Overview of mechanics based on the least action principle
t) and B(q, p, t) are two scalar valued dynamical variables, the Poisson bracket is defined by the generalized coordinates and momentums: { A , B }
Analytical_mechanics
Physical quantity conserved throughout a motion
Poisson bracket { A , B } {\displaystyle \{A,B\}} . A system with n degrees of freedom, and n constants of motion, such that the Poisson bracket of any
Constant_of_motion
Poisson manifold that is also a Lie group
the Poisson algebra of functions on a Poisson–Lie group. A Poisson–Lie group is a Lie group G {\displaystyle G} equipped with a Poisson bracket for which
Poisson–Lie_group
dynamics of the system according to Hamiltonian mechanics. The related Poisson bracket fulfills the Jacobi identity. the friction matrix M ( x ) {\displaystyle
GENERIC_formalism
Z2-graded generalization of a Poisson algebra
between these two is in the grading of the Lie bracket. In the Poisson superalgebra, the grading of the bracket is zero: | [ a , b ] | = | a | + | b | {\displaystyle
Poisson_superalgebra
Constraint in loop quantum gravity
will have vanishing Poisson bracket with the volume, so the only contribution will come from the connection. As the Poisson bracket is already proportional
Hamiltonian_constraint_of_LQG
Topological space that locally resembles Euclidean space
classical mechanics. They are endowed with a 2-form that defines the Poisson bracket. A closely related type of manifold is a contact manifold. A combinatorial
Manifold
Formulation of quantum mechanics
replacing the commutator over the reduced Planck constant above by the Poisson bracket, the Heisenberg equation reduces to an equation in Hamiltonian mechanics
Heisenberg_picture
Numerical integration scheme for Hamiltonian systems
Poisson bracket. Furthermore, by introducing an operator D H ⋅ = { ⋅ , H } {\displaystyle D_{H}\cdot =\{\cdot ,H\}} , which returns a Poisson bracket
Symplectic_integrator
coordinate system in the phase space. These variables satisfy the Poisson bracket relations { ξ k , ξ l } = − I k l . {\displaystyle \{\xi ^{k},\xi ^{l}\}=-I^{kl}
Method of quantum characteristics
Method_of_quantum_characteristics
Physical fields obeying the Schrödinger equation
is singular and hence requires the use of Dirac brackets instead of Poisson brackets. Dirac brackets makes use of constraints that arise in singular Lagrangians
Schrödinger_field
linearisation of the Poisson structure on G gives the Lie bracket on g ∗ {\displaystyle {\mathfrak {g^{*}}}} (recalling that a linear Poisson structure on a
Lie_bialgebra
Construct in theoretical physics
light diverges: c → ∞; or the Moyal bracket Lie algebra (equivalent to quantum commutators) to the Poisson bracket Lie algebra, in the classical limit
Group_contraction
Generalization of Hamiltonian mechanics involving multiple Hamiltonians
generated by a Hamiltonian over a Poisson manifold. In 1973, Yoichiro Nambu suggested a generalization involving Nambu–Poisson manifolds with more than one
Nambu_mechanics
Quantum mechanical operator related to rotational symmetry
angular momentum operator, and { , } {\displaystyle \{,\}} is the Poisson bracket. The same commutation relations apply for the other angular momentum
Angular_momentum_operator
Integrable classical system
{\displaystyle {\mathfrak {g}}} , in the sense that it Poisson commutes (has vanishing Poisson bracket) with all functions. The (quadratic) Hamiltonian is
Garnier_integrable_system
Method of statistical physics
L={\frac {1}{\hbar }}[H,\cdot ]} in the quantum case and using the Poisson bracket L = − i { H , ⋅ } {\displaystyle L=-i\{H,\cdot \}} in the classical
Mori–Zwanzig_formalism
Mathematical device used in statistical mechanics
algebra. The algebra in general is not closed under the Poisson bracket, including the Poisson bracket with the Hamiltonian. The ultimate justification for
Zwanzig_projection_operator
Isomorphism of symplectic manifolds
Lie algebra of smooth functions on the manifold with respect to the Poisson bracket, modulo the constants. The group of Hamiltonian symplectomorphisms
Symplectomorphism
Function used to generate other functions
{\partial F_{3}}{\partial p}}={\frac {-1}{Q}}} Hamilton–Jacobi equation Poisson bracket Goldstein, Herbert; Poole, C. P.; Safko, J. L. (2001). Classical Mechanics
Generating_function_(physics)
Sets of coordinates on phase space which can be used to describe a physical system
Hamiltonian formalism. The canonical coordinates satisfy the fundamental Poisson bracket relations: { q i , q j } = 0 { p i , p j } = 0 { q i , p j } = δ i
Canonical_coordinates
Stochastic differential equation
A i , A j ] {\displaystyle [A_{i},A_{j}]} is the projection of the Poisson bracket of the slow variables A i {\displaystyle A_{i}} and A j {\displaystyle
Langevin_equation
Equations modelling predator–prey cycles
of a Hamiltonian function of the system. To see this we can define Poisson bracket as follows { f ( x , y ) , g ( x , y ) } = − x y ( ∂ f ∂ x ∂ g ∂ y
Lotka–Volterra_equations
Property of certain dynamical systems
functionally independent Poisson commuting invariants (i.e., independent functions on the phase space whose Poisson brackets with the Hamiltonian of the
Integrable_system
Quantum field theory equations
equality means that the Poisson bracket could result in terms proportional one of the constraints, the classical Poisson brackets for the relativistic two-body
Two-body_Dirac_equations
Value remaining constant in a dynamical system
. Here { f , H } {\displaystyle \{f,{\mathcal {H}}\}} denotes the Poisson bracket. Suppose a system is defined by the Lagrangian L with generalized coordinates
Conserved_quantity
sightly different form. The Poisson bracket including the density is replaced with the definition of the Poisson bracket, and a constant replaces the
Hasegawa–Mima_equation
British physicist (1902–1984)
structure as the Poisson brackets that occur in the classical dynamics of particle motion. At the time, his memory of Poisson brackets was rather vague
Paul_Dirac
Property of physical systems that stays somewhat constant through slow changes
J}}\right)\,dt.\end{aligned}}} The integrand is the Poisson bracket of x and p. The Poisson bracket of two canonically conjugate quantities, like x and
Adiabatic_invariant
Group in group theory and physics
The span of these functions does not form a Lie algebra under the Poisson bracket, however, because { x i , p j } = δ i , j . {\displaystyle \{x_{i}
Heisenberg_group
Conservation law
\end{aligned}}} where { ⋅ , ⋅ } {\displaystyle \{\cdot ,\cdot \}} is the Poisson bracket, δ {\displaystyle \delta } is the Kronecker delta, and ε {\displaystyle
Fradkin_tensor
Recipe for constructing a quantum analog of a classical physical theory
with a quantization procedure for observables that exactly transforms Poisson brackets on the classical side into commutators on the quantum side. Nevertheless
Geometric_quantization
Book by Leonard Susskind
principle of least action, Lagrangian mechanics, Hamiltonian mechanics, Poisson brackets, and electromagnetism. It is the first book in a series called The
The_Theoretical_Minimum
Wigner distribution function in physics as opposed to in signal processing
Hamiltonian, and {{⋅, ⋅}} is the Moyal bracket. In the classical limit, ħ → 0, the Moyal bracket reduces to the Poisson bracket, while this evolution equation
Wigner quasiprobability distribution
Wigner_quasiprobability_distribution
Study of quantum systems changing with time
The relationship between the quantum commutator and the classical Poisson bracket, [ A ^ , B ^ ] ↔ i ℏ { A , B } {\displaystyle [{\hat {A}},{\hat {B}}]\leftrightarrow
Quantum_dynamics
of the Poisson brackets to the De Donder–Weyl theory and the representation of De Donder–Weyl equations in terms of generalized Poisson brackets satisfying
De_Donder–Weyl_theory
Type of derivative in mathematics
space parameters and time is its partial derivative in time plus its Poisson bracket with the Hamiltonian H {\displaystyle H} : d f d t = ∂ f ∂ t + { f
Derivative (multivariable calculus)
Derivative_(multivariable_calculus)
Concept in mathematics
{g}})} becomes a Poisson algebra: a unital associative algebra with a Lie bracket that is compatible with the original Lie algebra bracket (by construction)
Universal_enveloping_algebra
Nonlinear form of the Schrödinger equation
2}|\partial _{x}\psi |^{2}+{\kappa \over 2}|\psi |^{4}\right]} with the Poisson brackets { ψ ( x ) , ψ ( y ) } = { ψ ∗ ( x ) , ψ ∗ ( y ) } = 0 {\displaystyle
Nonlinear Schrödinger equation
Nonlinear_Schrödinger_equation
Property of a mathematical function
This is useful, for example, when defining generalizations of the Poisson bracket. For a pair of functions f and g, the left and right derivatives are
Semi-differentiability
Mapping between functions in the quantum phase space
all quantization schemes, comes as close as possible to mapping the Poisson bracket on the classical side to the commutator on the quantum side. (An exact
Wigner–Weyl_transform
Landmark textbook in classical mechanics by E. T. Whittaker
"indebted" to the book, as it contained the only material he could find on Poisson brackets, which he needed to finish his work on quantum mechanics in the 1920s
Analytical Dynamics of Particles and Rigid Bodies
Analytical_Dynamics_of_Particles_and_Rigid_Bodies
Equations that describe the behavior of a physical system
dynamical observables by their quantum operators and the classical Poisson bracket by the commutator, the phase space formulation closely follows classical
Equations_of_motion
Textbook by Ramamurti Shankar
Electromagnetic Force in the Hamiltonian Scheme Cyclic Coordinates, Poisson Brackets, and Canonical Transformations Symmetries and Their Consequences All
Principles of Quantum Mechanics
Principles_of_Quantum_Mechanics
Calculation of energy transfer between media affecting visibility
Hamiltonian approach. The light transport equation can be stated using the Poisson brackets as: l ˙ = { H , l } {\displaystyle {\dot {l}}=\{H,l\}} where H {\displaystyle
Light_transport_theory
Fundamental quantity in physics
Heisenberg picture, which enjoys a similarity to the Poisson brackets of classical mechanics. The Poisson brackets are superseded by a nonzero commutator, say
Time_in_physics
Representation theory of SL2(R) Pauli matrices Gell-Mann matrices Poisson bracket Noether's theorem Wigner's classification Gauge theory Grand Unified
List_of_Lie_groups_topics
Branch of optics
or Miñano-Benitez design method and the Miñano design method using Poisson brackets. The first (flow-line) is probably the most used, although the second
Nonimaging_optics
Physics principle formulated by Niels Bohr
correspondence. Dirac connected the structures of classical mechanics known as Poisson brackets to analogous structures of quantum mechanics known as commutators:
Correspondence_principle
Integrable rigid bodies in classical mechanics
{e} }}^{2},\mathbf {\hat {z}} \cdot {\hat {\mathbf {e} }}^{3})} The Poisson bracket relations of these variables is given by { ℓ a , ℓ b } = ε a b c ℓ
Lagrange, Euler, and Kovalevskaya tops
Lagrange,_Euler,_and_Kovalevskaya_tops
Textbook by Paul Dirac
realized that there was a connection between Heisenberg's matrices and Poisson brackets from classical mechanics, which he could exploit to create his own
The Principles of Quantum Mechanics
The_Principles_of_Quantum_Mechanics
Mathematical group
variables that preserve the standard symplectic form, or equivalently the Poisson bracket. The Lie algebra s p ( 2 n , R ) {\displaystyle {\mathfrak {sp}}(2n
Symplectic_group
Differential algebra
(q_{1},p_{1},\dots ,q_{n},p_{n})} . These coordinates satisfy the Poisson bracket relations: { q i , q j } = 0 , { p i , p j } = 0 , { q i , p j } =
Weyl_algebra
Tool in symplectic geometry
F:M\rightarrow \mathbb {R} } can be readily shown to be given by the Poisson bracket { F , H } = ω ( X F , X H ) {\displaystyle \{F,H\}=\omega (X_{F},X_{H})}
Momentum_map
Dutch theoretical physicist (1910–1996)
Moyal bracket is isomorphic to the quantum commutator, and thus that the latter cannot be made to faithfully correspond to the Poisson bracket, as had
Hilbrand_J._Groenewold
s i j {\displaystyle s_{ij}} on N {\displaystyle N} such that the Poisson bracket of integrals of motion reads { F i , F j } = s i j ∘ F {\displaystyle
Superintegrable Hamiltonian system
Superintegrable_Hamiltonian_system
Japanese-American nobel-winning physicist
structure called the Nambu bracket. Unlike traditional Hamiltonian systems that use a single Hamiltonian and a Poisson bracket, Nambu mechanics allows the
Yoichiro_Nambu
Russian physicist and mathematician (1930–2023)
maint: postscript (link) Karasëv, M. V.; Maslov, V. P.: Nonlinear Poisson brackets. Geometry and quantization. Translated from the Russian by A. Sossinsky
Viktor_Maslov_(mathematician)
Formulations of quantum mechanics
similarity to classical physics: by replacing the commutator above by the Poisson bracket, the Heisenberg equation becomes an equation in Hamiltonian mechanics
Dynamical_pictures
Subbundle of the tangent bundle
a symplectic manifold are said to be in mutual involution if their Poisson bracket vanishes. An integral manifold for a rank n {\displaystyle n} distribution
Distribution (differential geometry)
Distribution_(differential_geometry)
Variables used in general relativity
A b k , {\displaystyle \ A_{b}^{k}\ ,} in that it satisfies the Poisson bracket relation { E ~ j a ( x ) , A b k ( y ) } = 8 π G N e w t
Ashtekar_variables
World Scientific. ISBN 978-981-02-4407-1. Tsarev, S. P. (1985). "On Poisson brackets and one-dimensional hamiltonian systems of hydrodynamic type" (PDF)
Riemann_invariant
Application of Clifford algebra
{\dot {B}}={\frac {1}{2}}(AB-BA)} . This is the Lie Bracket, here identical to the Poisson bracket. The algebra of all distance-preserving transformations
Plane-based_geometric_algebra
POISSON BRACKET
POISSON BRACKET
Surname or Lastname
English and French
English and French : from Old French pinson ‘finch’, perhaps a nickname applied to a bright and cheerful person.English and French : metonymic occupational name for someone who made pincers or forceps or who used them in their work, from Old French pinson ‘pincers’ (a derivative of pincier ‘to pinch’).
Boy/Male
Indian, Sanskrit
Poison Spewing
Girl/Female
Biblical
Poison, tricks.
Boy/Male
Indian
Poison
Boy/Male
Hindu, Indian
Poison
Girl/Female
Indian, Telugu
Poison
Girl/Female
Arabic, Farsi, Iranian
Poison
Girl/Female
Gujarati, Hindu, Indian
Poison; Earth
Girl/Female
Tamil
Poison
Boy/Male
Tamil
Poison
Surname or Lastname
English
English : patronymic from Middle English prest ‘priest’, i.e. ‘son of the priest’.French : occupational name for a presser of wine or oil, from a derivative of presser ‘to press’.
Male
English
Variant spelling of English unisex Addison, ADISSON means "son of Adam."
Surname or Lastname
English
English : variant of Grissom.
Surname or Lastname
English (Midlands)
English (Midlands) : habitational name from Pointon in Lincolnshire, Poynton in Cheshire, or Poynton Green in Shropshire. The first is named from Old English Pohhingtūn ‘settlement (Old English tūn) associated with Pohha’, a byname apparently meaning ‘bag’; the others have as the first element the Old English personal names Pofa and Pēofa respectively.
Boy/Male
Hindu
Poison
Boy/Male
Australian, British, English
Son of Adam
Surname or Lastname
English
English : patronymic from Phil, a short form of the personal name Philip.
Surname or Lastname
English
English : topographic name for someone who lived by a postern gate, from Old French posterne; in some cases it would have been a metonymic occupational name for a gatekeeper.English : habitational name from Poston in Herefordshire or Poston in Shropshire, which is named with an Old English personal name Possa + þorn ‘thorn tree’.
Surname or Lastname
English
English : variant spelling of Pierson.
Surname or Lastname
English
English : patronymic from Middle English Pole or Poul, vernacular forms of Paul.Americanized spelling of Scandinavian Poulsen.
POISSON BRACKET
POISSON BRACKET
Boy/Male
Scottish
From Berkeley.
Girl/Female
Muslim/Islamic
Pure original
Surname or Lastname
English
English : apparently a habitational name from an unidentified place. There is a place called Colleymore Farm in Oxfordshire, but it is not clear whether this is the source of the surname, with its many variant spellings. See also Collamore, Gallimore, Gallimore.
Girl/Female
Biblical
Comforter, penitent.
Boy/Male
Muslim
Devotee
Girl/Female
Indian, Punjabi, Sikh
Contemplation of Truth
Boy/Male
Arabic
Bangla
Girl/Female
Hindu, Indian
Satisfied
Girl/Female
Indian
Name of a Raga
Girl/Female
Christian, Danish, Hindu, Indian, Russian, Ukrainian
Cheerful; Beautiful
POISSON BRACKET
POISSON BRACKET
POISSON BRACKET
POISSON BRACKET
POISSON BRACKET
v. i.
To act as, or convey, a poison.
n.
Poison; venom.
n.
To put poison upon or into; to infect with poison; as, to poison an arrow; to poison food or drink.
v. t.
To poison; to infect with poison.
n.
Any agent which, when introduced into the animal organism, is capable of producing a morbid, noxious, or deadly effect upon it; as, morphine is a deadly poison; the poison of pestilential diseases.
n.
To taint; to corrupt; to vitiate; as, vice poisons happiness; slander poisoned his mind.
v. t.
To imprison; to shut up in, or as in, a prison; to confine; to restrain from liberty.
n.
That which taints or destroys moral purity or health; as, the poison of evil example; the poison of sin.
v. t.
To poison; to drug.
p. pr. & vb. n.
of Poison
n.
The California poison oak (Rhus diversiloba). See under Poison, a.
n.
Rat poison; white arsenic.
n.
A kind of antidote for poisons; a counter poison formerly in vogue.
n.
A four-wheeled carriage for conveying ammunition, consisting of two parts, a body and a limber. In light field batteries there is one caisson to each piece, having two ammunition boxes on the body, and one on the limber.
imp. & p. p.
of Poison
n.
To injure or kill by poison; to administer poison to.
n.
Poison spittle; poison ejected from the mouth.
n.
Venom; poison.
n.
Poison.
pl.
of Cornet-a-piston